Search a number
-
+
57202252025697 = 3289431165692687
BaseRepresentation
bin11010000000110011011111…
…11010011000111101100001
321111112111000021222200111200
431000121233322120331201
524444200203004310242
6321354203553431413
715022504062510042
oct1500315772307541
9244474007880450
1057202252025697
1117254380010899
1264ba21a56b569
1325bc1c2ab654c
14101a864a628c9
15692e6637a04c
hex34066fe98f61

57202252025697 has 24 divisors (see below), whose sum is σ = 83747712222720. Its totient is φ = 37618867429440.

The previous prime is 57202252025687. The next prime is 57202252025729. The reversal of 57202252025697 is 79652025220275.

It is a happy number.

57202252025697 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 2 + 2 + 520 + 25 + 6 + 97 = 666.

It is not a de Polignac number, because 57202252025697 - 211 = 57202252023649 is a prime.

It is a super-2 number, since 2×572022520256972 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57202252025627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82501113 + ... + 83191574.

It is an arithmetic number, because the mean of its divisors is an integer number (3489488009280).

Almost surely, 257202252025697 is an apocalyptic number.

It is an amenable number.

57202252025697 is a deficient number, since it is larger than the sum of its proper divisors (26545460197023).

57202252025697 is a wasteful number, since it uses less digits than its factorization.

57202252025697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165693213 (or 165693210 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 57202252025697 in words is "fifty-seven trillion, two hundred two billion, two hundred fifty-two million, twenty-five thousand, six hundred ninety-seven".

Divisors: 1 3 9 89 267 431 801 1293 3879 38359 115077 345231 165692687 497078061 1491234183 14746649143 44239947429 71413548097 132719842287 214240644291 642721932873 6355805780633 19067417341899 57202252025697